QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132374 | #6329. Colorful Graph | Shuishui | WA | 2162ms | 9212kb | C++14 | 4.0kb | 2023-07-29 18:14:56 | 2023-07-29 18:14:59 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 7e3 + 2;
const int V = 1e5, E = 1e5;
template<typename T>
struct MinGraph {
int s, t, vtot;
int head[V], etot;
T dis[V], flow, cost, pf[V];
int pre[V];
bool vis[V];
struct edge{
int v, nxt;
T f, c;
} e[E * 2];
void addedge(int u, int v, T f, T c, T f2 = 0)
{
e[etot] = {v, head[u], f, c}; head[u] = etot++;
e[etot] = {u, head[v], f2, -c}; head[v] = etot++;
}
bool spfa()
{
T inf = numeric_limits<T>::max() / 2;
for (int i = 1; i <= vtot; i++)
{
dis[i] = inf;
vis[i] = false;
pre[i] = -1;
pf[i] = inf;
}
dis[s] = 0;
vis[s] = true;
queue<int> q;
q.push(s);
while (!q.empty())
{
int u = q.front();;
for (int i = head[u]; ~i; i = e[i].nxt)
{
int v = e[i].v;
if (e[i].f && dis[v] > dis[u] + e[i].c)
{
dis[v] = dis[u] + e[i].c;
pre[v] = i;
pf[v] = min(pf[u], e[i].f);
if (!vis[v])
{
vis[v] = 1;
q.push(v);
}
}
}
q.pop();
vis[u] = false;
}
return dis[t] != inf;
}
void augment()
{
int u = t;
T f = pf[t];
flow += f;
cost += f * dis[t];
while (~pre[u])
{
e[pre[u]].f -= f;
e[pre[u]^1].f += f;
u = e[pre[u]^1].v;
}
}
pair<T, T> solve()
{
flow = 0;
cost = 0;
while (spfa()) augment();
return {flow, cost};
}
void init(int s_, int t_, int vtot_)
{
s = s_, t = t_, vtot = vtot_;
etot = 0;
for (int i = 1; i <= vtot; i++) head[i] = -1;
}
};
int dfn[N], low[N], bel[N], sz[N], tot, cnt;
bool ins[N];
stack<int> stk;
vector<int> scc[N];
vector<int> e[N];
void dfs(int x)
{
dfn[x] = low[x] = ++tot;
ins[x] = true;
stk.push(x);
for (auto y : e[x])
{
if (!dfn[y]) dfs(y);
if (ins[y]) low[x] = min(low[x], low[y]);
}
if (dfn[x] == low[x])
{
vector<int> v;
cnt++;
while (true)
{
int y = stk.top();
stk.pop();
ins[y] = false;
scc[cnt].push_back(y);
bel[y] = cnt;
sz[cnt]++;
if (y == x) break;
}
}
}
MinGraph<ll> g;
void solve(void)
{
int n, m;
cin >> n >> m;
for (int i = 1; i <= m; i++)
{
int u, v;
cin >> u >> v;
e[u].push_back(v);
}
for (int i = 1; i <= n; i++) if (!dfn[i]) dfs(i);
// for (int i = 1; i <= n; i++)
// cout << bel[i] << " ";
// cout << "\n";
// cout << cnt << "\n";
int s = cnt * 2 + 1, t = cnt * 2 + 2;
g.init(s, t, t);
vector<array<int, 2>> used;
for (int i = 1; i <= cnt; i++)
{
used.push_back({i, g.etot});
g.addedge(s, i * 2 - 1, m, 1);
g.addedge(i * 2 - 1, t, 1, 0);
g.addedge(s, i * 2, 1, 0);
g.addedge(i * 2 - 1, i * 2, 1, 0);
}
for (int x = 1; x <= n; x++)
{
int i = bel[x];
for (auto y : e[x])
{
int u = bel[x], v = bel[y];
if (u == v)
continue;
// cout << u << " " << v << "\n";
g.addedge(u * 2, v * 2 - 1, m, 0);
}
}
vector<int> ans(n + 2);
auto [f, c] = g.solve();
// cout << c << "\n";
vector<int> vis(n * 2 + 2);
int now = 0;
for (auto [uid, eid] : used)
{
if (g.e[eid].f != m)
{
// cout << "\n";
// cout << uid << "\n";
now++;
vis[uid * 2] = true;
for (auto v : scc[uid])
{
// cout << v << "\n";
ans[v] = now;
}
queue<int> q;
q.push(uid * 2);
while (!q.empty())
{
int u = q.front();
// cout << u << "\n";
for (int i = g.head[u]; ~i; i = g.e[i].nxt)
{
int v = g.e[i].v;
if (v != t && v != s && g.e[i].f != m && !vis[v])
{
vis[v] = true;
// cout << v << "\n";
// cout << (v + 1) / 2 << "\n";
for (auto nd : scc[(v + 1) / 2])
ans[nd] = now;
q.push(v + 1);
}
}
q.pop();
}
}
}
for (int i = 1; i <= n; i++)
cout << ans[i] << " ";
cout << "\n";
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
// int T;
// cin >> T;
// for (int i = 1; i <= T; i++)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5988kb
input:
5 5 1 4 2 3 1 3 2 5 5 1
output:
2 2 2 1 2
result:
ok AC
Test #2:
score: 0
Accepted
time: 1ms
memory: 5936kb
input:
5 7 1 2 2 1 4 3 5 1 5 4 4 1 4 5
output:
1 1 2 2 2
result:
ok AC
Test #3:
score: 0
Accepted
time: 2ms
memory: 7900kb
input:
8 6 6 1 3 4 3 6 2 3 4 1 6 4
output:
1 1 1 1 2 1 3 4
result:
ok AC
Test #4:
score: -100
Wrong Answer
time: 2162ms
memory: 9212kb
input:
7000 6999 4365 4296 2980 3141 6820 4995 4781 24 2416 5844 2940 2675 3293 2163 3853 5356 262 6706 1985 1497 5241 3803 353 1624 5838 4708 5452 3019 2029 6161 3849 4219 1095 1453 4268 4567 1184 1857 2911 3977 1662 2751 6353 6496 2002 6628 1407 4623 425 1331 4445 4277 1259 3165 4994 1044 2756 5788 5496 ...
output:
1749 1656 1325 1563 2116 1750 1751 1364 1109 1504 2157 3126 1752 3342 1518 1753 515 1754 1060 24 1256 584 3364 1497 1661 1755 1756 2503 1403 1757 1170 1197 1758 1759 1356 1357 285 1760 3388 1761 1524 1157 1762 533 1763 686 1764 2439 1765 1766 889 1767 1291 3144 1646 186 2649 1768 1030 1769 1191 2935...
result:
wrong answer Integer 2116 violates the range [1, 1750]